Inequalities

Inequalities

​"I can identify solutions to inequalities."

"I can write an inequality from a real-world example."​

By Chris Johnson

*In math, just like in life, not everything is equal.

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*Inequalities are used to show that one value is not equal to another value.

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*Inequalities are often used to make comparisons of two quantities.​

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Inequalities

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​Since we read from left to right,

> means "greater than" because the value on the left is greater than the value on the right.

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Signage

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​Since we read from left to right,

> means "greater than" because the value on the left is greater than the value on the right.

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7 > 5 means "7 is greater than 5"

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5 < 7 means "5 is less than 7"​

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Signage

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Multiple Choice

Which symbol means "less than"?

• >

• <

• =

Multiple Choice

Select the sign that makes the inequality true.

15 ___ 20

• >

• <

• =

​n > 54

Since variables can represent any number, this says "any number greater than 54".

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Solutions to this inequality are anything larger than 54, but not 54.​

Variables should always be written FIRST in the sentence.

Enter... Variables​

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​n ≤ 54

Since variables can represent any number, this says "any number less than or equal to 54".

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Solutions to this inequality are anything smaller or equal to 54, such as 30; 54; 0; -300.

*There are an infinite number of solutions.​

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Enter... Variables​

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Multiple Choice

Which inequality means "any number less than or equal to 37"?

• y > 37

• y < 37

• y ≤ 37

• y ≥​ 37

Multiple Choice

Which number is a solution to the inequality?

n > 72

• 73

• 71

• 72

• -376

Multiple Select

Select all possible solutions to the inequality.

x ≤ 45

• 45

• 48

• 42

• 176

• 0

Brainstorm some ways to say the symbol, other than less than, greater than, etc.

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Wordy

Common words with each inequality symbol.

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Wordy

Multiple Choice

1) You ate no more than 3 donuts.

• d > 3

• d < 3

• d ≤ 3

• d ≥​ 3

Multiple Choice

2) Your shoes will cost a maximum of $50

• s > $50

• s < $50

• s ≤ $50

• s ≥​ $50

Multiple Choice

3) You sent more than 11 letters in the mail.

• l > 11

• l < 11

• l ≤ 11

• l ≥​ 11

Multiple Choice

You ran under 5 miles.

• m > 5

• m < 5

• m ≤ 5

• m ≥​ 5

​2 Minutes to Work Out Problems on Notes Page

​Inequalities on a Number Line (Page 2)

1. Each symbol has a specific way to mark

   1. (open or closed circle)

2. The symbol determines which way to shade

   1. (these are solutions to the inequality statement)

​Inequalities on a Number Line

Multiple Select

p > -5

• Open Circle

• Closed Circle

• Shade Left

• Shade Right

Multiple Select

w ≤ 10

• Open Circle

• Closed Circle

• Shade Left

• Shade Right

Multiple Select

x ≥ -8

• Open Circle

• Closed Circle

• Shade Left

• Shade Right

​2 Minutes to Work Out Problems on Notes Page